Consider the power series _ n=1 ^ n 4^ n ,(x-2)^ n

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Consider the power series ∑n=1∞n4n (x−2)n.\sum_{n=1}^{\infty} \frac{n}{4^{n}}\,(x-2)^{n}. Determine its radius of convergence.

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